Inner Product, Orthogonal Bases and Vector Projections

This video introduces the inner product as an operation that allows us to solve the problem of "finding coefficients" in finite-dimensional vector spaces in a simple and scalable manner through the use of orthogonal bases; a geometrical interpretation of the inner product is then presented. The writing and narration was done in Spanish but English subtitles are also available. It was produced in collaboration with Animathica; the video script and animation code can be found in this repository.